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Finite Mathematics for the Manager...

12th Edition
Soo T. Tan
ISBN: 9781337405782

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Section
BuyFindarrow_forward

Finite Mathematics for the Manager...

12th Edition
Soo T. Tan
ISBN: 9781337405782
Textbook Problem

In Exercises 3 14 , use the method of corners to solve the linear programming problem.

Maximize P = 3 x + 5 y

subject to 2 x + 3 y 12  

x + y 5  

x 0 ,   y 0

To determine

To solve:

The linear programming problem P=3x+5y, 2x+3y12 , x+y5 , x0, y0.

Explanation

Calculation:

The given linear inequalities are,

2x+3y12 

x+y5 

x0

y0

Plot the region of possible solutions.

At (0,0), P=0.

At (5,0), P=15

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Sect-3.1 P-9ESect-3.1 P-10ESect-3.1 P-11ESect-3.1 P-12ESect-3.1 P-13ESect-3.1 P-14ESect-3.1 P-15ESect-3.1 P-16ESect-3.1 P-17ESect-3.1 P-18ESect-3.1 P-19ESect-3.1 P-20ESect-3.1 P-21ESect-3.1 P-22ESect-3.1 P-23ESect-3.1 P-24ESect-3.1 P-25ESect-3.1 P-26ESect-3.1 P-27ESect-3.1 P-28ESect-3.1 P-29ESect-3.1 P-30ESect-3.1 P-31ESect-3.1 P-32ESect-3.1 P-33ESect-3.1 P-34ESect-3.1 P-35ESect-3.1 P-36ESect-3.1 P-37ESect-3.1 P-38ESect-3.1 P-39ESect-3.1 P-40ESect-3.1 P-41ESect-3.1 P-42ESect-3.1 P-43ESect-3.1 P-44ESect-3.1 P-45ESect-3.1 P-46ESect-3.1 P-47ESect-3.1 P-48ESect-3.2 P-1CQSect-3.2 P-2CQSect-3.2 P-3CQSect-3.2 P-1ESect-3.2 P-2ESect-3.2 P-3ESect-3.2 P-4ESect-3.2 P-5ESect-3.2 P-6ESect-3.2 P-7ESect-3.2 P-8ESect-3.2 P-9ESect-3.2 P-10ESect-3.2 P-11ESect-3.2 P-12ESect-3.2 P-13ESect-3.2 P-14ESect-3.2 P-15ESect-3.2 P-16ESect-3.2 P-17ESect-3.2 P-18ESect-3.2 P-19ESect-3.2 P-20ESect-3.2 P-21ESect-3.2 P-22ESect-3.2 P-23ESect-3.2 P-24ESect-3.2 P-25ESect-3.2 P-26ESect-3.2 P-27ESect-3.2 P-28ESect-3.2 P-29ESect-3.2 P-30ESect-3.2 P-31ESect-3.2 P-32ESect-3.2 P-33ESect-3.2 P-34ESect-3.3 P-1CQSect-3.3 P-2CQSect-3.3 P-1ESect-3.3 P-2ESect-3.3 P-3ESect-3.3 P-4ESect-3.3 P-5ESect-3.3 P-6ESect-3.3 P-7ESect-3.3 P-8ESect-3.3 P-9ESect-3.3 P-10ESect-3.3 P-11ESect-3.3 P-12ESect-3.3 P-13ESect-3.3 P-14ESect-3.3 P-15ESect-3.3 P-16ESect-3.3 P-17ESect-3.3 P-18ESect-3.3 P-19ESect-3.3 P-20ESect-3.3 P-21ESect-3.3 P-22ESect-3.3 P-23ESect-3.3 P-24ESect-3.3 P-25ESect-3.3 P-26ESect-3.3 P-27ESect-3.3 P-28ESect-3.3 P-29ESect-3.3 P-30ESect-3.3 P-31ESect-3.3 P-32ESect-3.3 P-33ESect-3.3 P-34ESect-3.3 P-35ESect-3.3 P-36ESect-3.3 P-37ESect-3.3 P-38ESect-3.3 P-39ESect-3.3 P-40ESect-3.3 P-41ESect-3.3 P-42ESect-3.3 P-43ESect-3.3 P-44ESect-3.3 P-45ESect-3.3 P-46ESect-3.3 P-47ESect-3.3 P-48ESect-3.3 P-49ESect-3.3 P-50ESect-3.3 P-51ESect-3.3 P-52ESect-3.3 P-53ESect-3.3 P-54ESect-3.3 P-55ESect-3.3 P-56ESect-3.3 P-57ESect-3.3 P-58ESect-3.3 P-59ESect-3.3 P-60ESect-3.3 P-61ESect-3.3 P-62ESect-3.3 P-63ESect-3.3 P-64ESect-3.4 P-1CQSect-3.4 P-2CQSect-3.4 P-3CQSect-3.4 P-1ESect-3.4 P-2ESect-3.4 P-3ESect-3.4 P-4ESect-3.4 P-5ESect-3.4 P-6ESect-3.4 P-7ESect-3.4 P-8ESect-3.4 P-9ESect-3.4 P-10ESect-3.4 P-11ESect-3.4 P-12ESect-3.4 P-13ESect-3.4 P-14ESect-3.4 P-15ESect-3.4 P-16ESect-3.4 P-17ESect-3.4 P-18ESect-3.CRQ P-1CRQSect-3.CRQ P-2CRQSect-3.CRQ P-3CRQSect-3.CRQ P-4CRQSect-3.CRQ P-5CRQSect-3.CRQ P-6CRQSect-3.CRE P-1CRESect-3.CRE P-2CRESect-3.CRE P-3CRESect-3.CRE P-4CRESect-3.CRE P-5CRESect-3.CRE P-6CRESect-3.CRE P-7CRESect-3.CRE P-8CRESect-3.CRE P-9CRESect-3.CRE P-10CRESect-3.CRE P-11CRESect-3.CRE P-12CRESect-3.CRE P-13CRESect-3.CRE P-14CRESect-3.CRE P-15CRESect-3.CRE P-16CRESect-3.CRE P-17CRESect-3.CRE P-18CRESect-3.BMO P-1BMOSect-3.BMO P-2BMOSect-3.BMO P-3BMOSect-3.BMO P-4BMOSect-3.BMO P-5BMO

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